• Jakob Lemvig and Jordy Timo van Velthoven (2020) Criteria for generalized translation-invariant frames. Studia Math., 250(1):31–63. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Lemvig, Jakob and Nielsen, Kamilla Haahr (2020) Gabor windows supported on {1,1$} and construction of compactly supported dual windows with optimal smoothness. J. Approx. Theory, 249:105304. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

• Jakob Lemvig and Jordy Timo van Velthoven (2020) Criteria for generalized translation-invariant frames. Studia Math., 250(1):31–63. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Lemvig, Jakob and Nielsen, Kamilla Haahr (2020) Gabor windows supported on {1,1$} and construction of compactly supported dual windows with optimal smoothness. J. Approx. Theory, 249:105304. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

2020 Publications

• Jakob Lemvig and Jordy Timo van Velthoven (2020) Criteria for generalized translation-invariant frames. Studia Math., 250(1):31–63. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Lemvig, Jakob and Nielsen, Kamilla Haahr (2020) Gabor windows supported on {1,1$} and construction of compactly supported dual windows with optimal smoothness. J. Approx. Theory, 249:105304. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

2019 Publications

2018 Publications

2017 Publications

2016 Publications

• Jakob Lemvig and Kamilla Haahr Nielsen (2016) Counterexamples to the B-spline conjecture for Gabor frames. J. Fourier Anal. Appl., 22(6):1440–1451. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2016) Density and duality theorems for regular Gabor frames. J. Funct. Anal., 270(1):229–263. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2016) Co-compact Gabor Systems on Locally Compact Abelian Groups. J. Fourier Anal. Appl., 22(1):36–70. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2016) Reproducing formulas for generalized translation invariant systems on locally compact abelian groups. Trans. Amer. Math. Soc., 368:8447–8480. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

2017 Journal Publications

• Jakob Lemvig (2017) On some Hermite series identities and their applications to Gabor analysis. Monatsh. Math., 182(4):899–912. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Marcin Bownik and Jakob Lemvig (2017) Wavelets for non-expanding dilations and the lattice counting estimate. Int. Math. Res. Not. IMRN. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Marcin Bownik , Mads S. Jakobsen , Jakob Lemvig and Kasso A. Okoudjou (2017) On Wilson bases in L^2(\mathbb R^d). SIAM J. Math. Anal., 49(5):3999–4023. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Ole Christensen, Marzieh Hasannasab, Jakob Lemvig (2017) Explicit constructions and properties of generalized shift-invariant systems in L^2(\mathbb R). Adv. Comput. Math., 43(2):443–472. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

2017 Conference Proceedings (Refereed)

• Marcin Bownik , Mads S. Jakobsen , Jakob Lemvig and Kasso A. Okoudjou (2017) On Multivariate Wilson Bases. In Sampling Theory and Applications (SampTA), 2017 International Conference on. July http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

• Hartmut Führ and Jakob Lemvig (2019) System bandwidth and the existence of generalized shift-invariant frames. J. Funct. Anal.. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig and Kamilla Haahr Nielsen (2019) On the smoothness of dual windows for Gabor windows supported on {-1, 1$}. In Sampling Theory and Applications (SampTA), 2019 International Conference on. July http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

2019 Journal Publications

• Hartmut Führ and Jakob Lemvig (2019) System bandwidth and the existence of generalized shift-invariant frames. J. Funct. Anal.. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2011) Optimally sparse approximations of multivariate functions using compactly supported shearlet frames. In 2011 International Conference on Sampling Theory and Applications (SampTA). http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Compactly supported shearlets. In Approximation Theory XIII: San Antonio 2010.. Springer Proc. Math., 163–186 (13). http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Felix Krahmer , Gitta Kutyniok and Jakob Lemvig (2013) Spectral properties of dual frames. In 2013 International Conference on Sampling Theory and Applications (SampTA). May. Eurasip, pages 493-496 http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2015) Duality results for co-compact Gabor systems. In 2015 International Conference on Sampling Theory and Applications (SampTA). May. IEEE Xplore, pages 144-147 http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2015) A characterization of tight and dual generalized translation invariant frames. In 2015 International Conference on Sampling Theory and Applications (SampTA). May. IEEE Xplore, pages 96-100 http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig and Kamilla Haahr Nielsen (2019) On the smoothness of dual windows for Gabor windows supported on {-1, 1$}. In Sampling Theory and Applications (SampTA), 2019 International Conference on. July http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

• Matcin Bownik and Jakob Lemvig (2007) The canonical and alternate duals of a wavelet frame. Appl. Comput. Harmon. Anal., 23(2):263–272. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2009) Constructing pairs of dual bandlimited framelets with desired time localization. Adv. Comput. Math., 30(3):231–247. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Matcin Bownik and Jakob Lemvig (2011) Affine and quasi-affine frames for rational dilations. Trans. Amer. Math. Soc., 363(4):1887–1924. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2012) Constructing pairs of dual bandlimited frame wavelets in L^2(R^n). Appl. Comput. Harmon. Anal., 32:313–328. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Matcin Bownik and Jakob Lemvig (2012) Oversampling of wavelet frames for real dilations. Jour. London Math. Soc., 85:765–788. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Optimally sparse approximations of 3D functions by compactly supported shearlet frames. SIAM J. Math. Anal., 44(4):2962–3017. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Felix Krahmer , Gitta Kutyniok and Jakob Lemvig (2013) Sparsity and spectral properties of dual frames. Linear Algebra Appl., 439(4):982–998. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig , Christopher Miller and Kasso A. Okoudjou (2014) Prime tight frames. Adv. Comput. Math., 40(2):315–334. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Felix Krahmer , Gitta Kutyniok and Jakob Lemvig (2014) Sparse matrices in frame theory. Comput. Statist., 29(3-4):547–568. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Hartmut Führ and Jakob Lemvig (2019) System bandwidth and the existence of generalized shift-invariant frames. J. Funct. Anal.. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig and Jordy Timo van Velthoven (2020) Criteria for generalized translation-invariant frames. Studia Math., 250(1):31–63. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Lemvig, Jakob and Nielsen, Kamilla Haahr (2020) Gabor windows supported on {1,1$} and construction of compactly supported dual windows with optimal smoothness. J. Approx. Theory, 249:105304. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

• Click http://www2.mat.dtu.dk/people/J.Lemvig/pub/../files/pdf.png to obtain preprint versions. If not availble, use ArXiv.org

• Marcin Bownik , Mads S. Jakobsen , Jakob Lemvig and Kasso A. Okoudjou (2017) On Multivariate Wilson Bases. In Sampling Theory and Applications (SampTA), 2017 International Conference on. July http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

2018 Journal Publications

• Jakob Lemvig (2017) On some Hermite series identities and their applications to Gabor analysis. Monatsh. Math., 182(4):899–912. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Marcin Bownik and Jakob Lemvig (2017) Wavelets for non-expanding dilations and the lattice counting estimate. Int. Math. Res. Not. IMRN. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Marcin Bownik , Mads S. Jakobsen , Jakob Lemvig and Kasso A. Okoudjou (2017) On Wilson bases in L^2(\mathbb R^d). SIAM J. Math. Anal., 49(5):3999–4023. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Ole Christensen, Marzieh Hasannasab, Jakob Lemvig (2017) Explicit constructions and properties of generalized shift-invariant systems in L^2(\mathbb R). Adv. Comput. Math., 43(2):443–472. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

2017 Conference Proceedings (Refereed)

2017 Journal Publications

• Jakob Lemvig (2017) On some Hermite series identities and their applications to Gabor analysis. Monatsh. Math., 182(4):899–912. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Marcin Bownik and Jakob Lemvig (2017) Wavelets for non-expanding dilations and the lattice counting estimate. Int. Math. Res. Not. IMRN. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Marcin Bownik , Mads S. Jakobsen , Jakob Lemvig and Kasso A. Okoudjou (2017) On Wilson bases in L^2(\mathbb R^d). SIAM J. Math. Anal., 49(5):3999–4023. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Ole Christensen, Marzieh Hasannasab, Jakob Lemvig (2017) Explicit constructions and properties of generalized shift-invariant systems in L^2(\mathbb R). Adv. Comput. Math., 43(2):443–472. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

2016 Conference Proceedings (Refereed)

2007 - 2015 Publications

• Matcin Bownik and Jakob Lemvig (2007) The canonical and alternate duals of a wavelet frame. Appl. Comput. Harmon. Anal., 23(2):263–272. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2009) Constructing pairs of dual bandlimited framelets with desired time localization. Adv. Comput. Math., 30(3):231–247. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Matcin Bownik and Jakob Lemvig (2011) Affine and quasi-affine frames for rational dilations. Trans. Amer. Math. Soc., 363(4):1887–1924. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Optimally sparse approximations of 3D functions by compactly supported shearlet frames. SIAM J. Math. Anal., 44(4):2962–3017. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Matcin Bownik and Jakob Lemvig (2012) Oversampling of wavelet frames for real dilations. Jour. London Math. Soc., 85:765–788. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2012) Constructing pairs of dual bandlimited frame wavelets in L^2(R^n). Appl. Comput. Harmon. Anal., 32:313–328. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Felix Krahmer , Gitta Kutyniok and Jakob Lemvig (2013) Sparsity and spectral properties of dual frames. Linear Algebra Appl., 439(4):982–998. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig , Christopher Miller and Kasso A. Okoudjou (2014) Prime tight frames. Adv. Comput. Math., 40(2):315–334. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Felix Krahmer , Gitta Kutyniok and Jakob Lemvig (2014) Sparse matrices in frame theory. Comput. Statist., 29(3-4):547–568. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Marcin Bownik , Mads S. Jakobsen , Jakob Lemvig and Kasso A. Okoudjou (2017) On Wilson bases in L^2(\mathbb R^d). SIAM J. Math. Anal., 49(5):3999–4023. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2017) On some Hermite series identities and their applications to Gabor analysis. Monatsh. Math., 182(4):899–912. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Marcin Bownik and Jakob Lemvig (2017) Wavelets for non-expanding dilations and the lattice counting estimate. Int. Math. Res. Not. IMRN. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Ole Christensen, Marzieh Hasannasab, Jakob Lemvig (2017) Explicit constructions and properties of generalized shift-invariant systems in L^2(\mathbb R). Adv. Comput. Math., 43(2):443–472. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Hartmut Führ and Jakob Lemvig (2019) System bandwidth and the existence of generalized shift-invariant frames. J. Funct. Anal.. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig and Jordy Timo van Velthoven (2020) Criteria for generalized translation-invariant frames. Studia Math., 250(1):31–63. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Lemvig, Jakob and Nielsen, Kamilla Haahr (2020) Gabor windows supported on {1,1$} and construction of compactly supported dual windows with optimal smoothness. J. Approx. Theory, 249:105304. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2011) Optimally sparse approximations of multivariate functions using compactly supported shearlet frames. In 2011 International Conference on Sampling Theory and Applications (SampTA). http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Compactly supported shearlets. In Approximation Theory XIII: San Antonio 2010.. Springer Proc. Math., 163–186 (13). http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Felix Krahmer , Gitta Kutyniok and Jakob Lemvig (2013) Spectral properties of dual frames. In 2013 International Conference on Sampling Theory and Applications (SampTA). May. Eurasip, pages 493-496 http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2015) Duality results for co-compact Gabor systems. In 2015 International Conference on Sampling Theory and Applications (SampTA). May. IEEE Xplore, pages 144-147 http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2015) A characterization of tight and dual generalized translation invariant frames. In 2015 International Conference on Sampling Theory and Applications (SampTA). May. IEEE Xplore, pages 96-100 http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Marcin Bownik , Mads S. Jakobsen , Jakob Lemvig and Kasso A. Okoudjou (2017) On Multivariate Wilson Bases. In Sampling Theory and Applications (SampTA), 2017 International Conference on. July http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig and Kamilla Haahr Nielsen (2019) On the smoothness of dual windows for Gabor windows supported on {-1, 1$}. In Sampling Theory and Applications (SampTA), 2019 International Conference on. July http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

• Jakob Lemvig (2010) Optimally sparse approximations of functions in L^2(R^n) with C^\alpha singularities using shearlets. Oberwolfach Report (44). http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Shearlets and Optimally Sparse Approximations. In Shearlets: Multiscale Analysis for Multivariate Data. (D. Labate and G. Kutyniok, Eds.), Springer. http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

2016 Journal Publications

• Jakob Lemvig and Kamilla Haahr Nielsen (2016) Counterexamples to the B-spline conjecture for Gabor frames. J. Fourier Anal. Appl., 22(6):1440–1451. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2016) Density and duality theorems for regular Gabor frames. J. Funct. Anal., 270(1):229–263. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2016) Co-compact Gabor Systems on Locally Compact Abelian Groups. J. Fourier Anal. Appl., 22(1):36–70. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2016) Reproducing formulas for generalized translation invariant systems on locally compact abelian groups. Trans. Amer. Math. Soc., 368:8447–8480. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

• Jakob Lemvig (2010) Optimally sparse approximations of functions in L^2(R^n) with C^\alpha singularities using shearlets. Oberwolfach Report (44). http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Shearlets and Optimally Sparse Approximations. In Shearlets: Multiscale Analysis for Multivariate Data. (D. Labate and G. Kutyniok, Eds.), Springer. http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

• Jakob Lemvig (2010) Optimally sparse approximations of functions in L^2(R^n) with C^\alpha singularities using shearlets. Oberwolfach Report (44). http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Shearlets and Optimally Sparse Approximations. In Shearlets: Multiscale Analysis for Multivariate Data. (D. Labate and G. Kutyniok, Eds.), Springer. http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

• Jakob Lemvig (2010) Optimally sparse approximations of functions in L^2(R^n) with C^\alpha singularities using shearlets. Oberwolfach Report (44). http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Shearlets and Optimally Sparse Approximations. In Shearlets: Multiscale Analysis for Multivariate Data. (D. Labate and G. Kutyniok, Eds.), Springer. http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2011) Optimally sparse approximations of multivariate functions using compactly supported shearlet frames. In 2011 International Conference on Sampling Theory and Applications (SampTA). http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Compactly supported shearlets. In Approximation Theory XIII: San Antonio 2010.. Springer Proc. Math., 163–186 (13). http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Felix Krahmer , Gitta Kutyniok and Jakob Lemvig (2013) Spectral properties of dual frames. In 2013 International Conference on Sampling Theory and Applications (SampTA). May. Eurasip, pages 493-496 http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Marcin Bownik , Mads S. Jakobsen , Jakob Lemvig and Kasso A. Okoudjou (2017) On Multivariate Wilson Bases. In Sampling Theory and Applications (SampTA), 2017 International Conference on. July http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig and Kamilla Haahr Nielsen (2019) On the smoothness of dual windows for Gabor windows supported on {-1, 1$}. In Sampling Theory and Applications (SampTA), 2019 International Conference on. July http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

Preprints

2015 Journal Publications

2015 Conference Proceedings (Refereed)

Ph.D. Thesis

• Matcin Bownik and Jakob Lemvig (2007) The canonical and alternate duals of a wavelet frame. Appl. Comput. Harmon. Anal., 23(2):263–272. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2009) Constructing pairs of dual bandlimited framelets with desired time localization. Adv. Comput. Math., 30(3):231–247. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Matcin Bownik and Jakob Lemvig (2011) Affine and quasi-affine frames for rational dilations. Trans. Amer. Math. Soc., 363(4):1887–1924. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Optimally sparse approximations of 3D functions by compactly supported shearlet frames. SIAM J. Math. Anal., 44(4):2962–3017. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Matcin Bownik and Jakob Lemvig (2012) Oversampling of wavelet frames for real dilations. Jour. London Math. Soc., 85:765–788. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2012) Constructing pairs of dual bandlimited frame wavelets in L^2(R^n). Appl. Comput. Harmon. Anal., 32:313–328. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Felix Krahmer , Gitta Kutyniok and Jakob Lemvig (2013) Sparsity and spectral properties of dual frames. Linear Algebra Appl., 439(4):982–998. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Felix Krahmer , Gitta Kutyniok and Jakob Lemvig (2014) Sparse matrices in frame theory. Comput. Statist., 29(3-4):547–568. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig , Christopher Miller and Kasso A. Okoudjou (2014) Prime tight frames. Adv. Comput. Math., 40(2):315–334. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2016) Density and duality theorems for regular Gabor frames. J. Funct. Anal., 270(1):229–263. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2016) Reproducing formulas for generalized translation invariant systems on locally compact abelian groups. Trans. Amer. Math. Soc., 368:8447–8480. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig and Kamilla Haahr Nielsen (2016) Counterexamples to the B-spline conjecture for Gabor frames. J. Fourier Anal. Appl., 22(6):1440–1451. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2016) Co-compact Gabor Systems on Locally Compact Abelian Groups. J. Fourier Anal. Appl., 22(1):36–70. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Marcin Bownik and Jakob Lemvig (2017) Wavelets for non-expanding dilations and the lattice counting estimate. Int. Math. Res. Not. IMRN. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Marcin Bownik , Mads S. Jakobsen , Jakob Lemvig and Kasso A. Okoudjou (2017) On Wilson bases in L^2(\mathbb R^d). SIAM J. Math. Anal., 49(5):3999–4023. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2017) On some Hermite series identities and their applications to Gabor analysis. Monatsh. Math., 182(4):899–912. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Ole Christensen, Marzieh Hasannasab, Jakob Lemvig (2017) Explicit constructions and properties of generalized shift-invariant systems in L^2(\mathbb R). Adv. Comput. Math., 43(2):443–472. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Hartmut Führ and Jakob Lemvig (2019) System bandwidth and the existence of generalized shift-invariant frames. J. Funct. Anal.. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig and Jordy Timo van Velthoven (2020) Criteria for generalized translation-invariant frames. Studia Math., 250(1):31–63. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Lemvig, Jakob and Nielsen, Kamilla Haahr (2020) Gabor windows supported on {1,1$} and construction of compactly supported dual windows with optimal smoothness. J. Approx. Theory, 249:105304. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

• Jakob Lemvig (2010) Optimally sparse approximations of functions in L^2(R^n) with C^\alpha singularities using shearlets. Oberwolfach Report (44). http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Shearlets and Optimally Sparse Approximations. In Shearlets: Multiscale Analysis for Multivariate Data. (D. Labate and G. Kutyniok, Eds.), Springer. http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

2007 - 2014 Publications

2007 - 2014 Publications

Journal Publications

• Felix Krahmer , Gitta Kutyniok and Jakob Lemvig (2014) Sparse matrices in frame theory. Comput. Statist., 29(3-4):547–568. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Felix Krahmer , Gitta Kutyniok and Jakob Lemvig (2013) Sparsity and spectral properties of dual frames. Linear Algebra Appl., 439(4):982–998. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Optimally sparse approximations of 3D functions by compactly supported shearlet frames. SIAM J. Math. Anal., 44(4):2962–3017. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Hartmut Führ and Jakob Lemvig (2019) System bandwidth and the existence of generalized shift-invariant frames. J. Funct. Anal.. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2017) On some Hermite series identities and their applications to Gabor analysis. Monatsh. Math., 182(4):899–912. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2012) Constructing pairs of dual bandlimited frame wavelets in L^2(R^n). Appl. Comput. Harmon. Anal., 32:313–328. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2009) Constructing pairs of dual bandlimited framelets with desired time localization. Adv. Comput. Math., 30(3):231–247. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig , Christopher Miller and Kasso A. Okoudjou (2014) Prime tight frames. Adv. Comput. Math., 40(2):315–334. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig and Jordy Timo van Velthoven (2020) Criteria for generalized translation-invariant frames. Studia Math., 250(1):31–63. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig and Kamilla Haahr Nielsen (2016) Counterexamples to the B-spline conjecture for Gabor frames. J. Fourier Anal. Appl., 22(6):1440–1451. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Lemvig, Jakob and Nielsen, Kamilla Haahr (2020) Gabor windows supported on {1,1$} and construction of compactly supported dual windows with optimal smoothness. J. Approx. Theory, 249:105304. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2016) Reproducing formulas for generalized translation invariant systems on locally compact abelian groups. Trans. Amer. Math. Soc., 368:8447–8480. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2016) Density and duality theorems for regular Gabor frames. J. Funct. Anal., 270(1):229–263. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2016) Co-compact Gabor Systems on Locally Compact Abelian Groups. J. Fourier Anal. Appl., 22(1):36–70. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Marcin Bownik and Jakob Lemvig (2017) Wavelets for non-expanding dilations and the lattice counting estimate. Int. Math. Res. Not. IMRN. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Marcin Bownik , Mads S. Jakobsen , Jakob Lemvig and Kasso A. Okoudjou (2017) On Wilson bases in L^2(\mathbb R^d). SIAM J. Math. Anal., 49(5):3999–4023. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Matcin Bownik and Jakob Lemvig (2007) The canonical and alternate duals of a wavelet frame. Appl. Comput. Harmon. Anal., 23(2):263–272. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Matcin Bownik and Jakob Lemvig (2012) Oversampling of wavelet frames for real dilations. Jour. London Math. Soc., 85:765–788. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Matcin Bownik and Jakob Lemvig (2011) Affine and quasi-affine frames for rational dilations. Trans. Amer. Math. Soc., 363(4):1887–1924. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Ole Christensen, Marzieh Hasannasab, Jakob Lemvig (2017) Explicit constructions and properties of generalized shift-invariant systems in L^2(\mathbb R). Adv. Comput. Math., 43(2):443–472. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

Conference Proceedings (Refereed)

Other Publications (book chapters, etc.)

• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Shearlets and Optimally Sparse Approximations. In Shearlets: Multiscale Analysis for Multivariate Data. (D. Labate and G. Kutyniok, Eds.), Springer. http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2010) Optimally sparse approximations of functions in L^2(R^n) with C^\alpha singularities using shearlets. Oberwolfach Report (44). http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

• Mads Sielemann Jakobsen and Jakob Lemvig (2015) Duality results for co-compact Gabor systems. In 2015 International Conference on Sampling Theory and Applications (SampTA). May. IEEE Xplore, pages 144-147 http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2015) A characterization of tight and dual generalized translation invariant frames. In 2015 International Conference on Sampling Theory and Applications (SampTA). May. IEEE Xplore, pages 96-100 http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

• Mads Sielemann Jakobsen and Jakob Lemvig (2015) Duality results for co-compact Gabor systems. In 2015 International Conference on Sampling Theory and Applications (SampTA). May. IEEE Xplore, pages 144-147 http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2015) A characterization of tight and dual generalized translation invariant frames. In 2015 International Conference on Sampling Theory and Applications (SampTA). May. IEEE Xplore, pages 96-100 http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

2015 Conference Proceedings (Refereed)

2015 Journal Publications

2015 Refereed Conf. Proceedings

2007 - 2014 Journal Publications

• Felix Krahmer , Gitta Kutyniok and Jakob Lemvig (2013) Spectral properties of dual frames. In 2013 International Conference on Sampling Theory and Applications (SampTA). May. Eurasip, pages 493-496 http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Felix Krahmer , Gitta Kutyniok and Jakob Lemvig (2013) Sparsity and spectral properties of dual frames. Linear Algebra Appl., 439(4):982–998. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Felix Krahmer , Gitta Kutyniok and Jakob Lemvig (2014) Sparse matrices in frame theory. Comput. Statist., 29(3-4):547–568. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Compactly supported shearlets. In Approximation Theory XIII: San Antonio 2010.. Springer Proc. Math., 163–186 (13). http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2011) Optimally sparse approximations of multivariate functions using compactly supported shearlet frames. In 2011 International Conference on Sampling Theory and Applications (SampTA). http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Shearlets and Optimally Sparse Approximations. In Shearlets: Multiscale Analysis for Multivariate Data. (D. Labate and G. Kutyniok, Eds.), Springer. http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Optimally sparse approximations of 3D functions by compactly supported shearlet frames. SIAM J. Math. Anal., 44(4):2962–3017. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Hartmut Führ and Jakob Lemvig (2019) System bandwidth and the existence of generalized shift-invariant frames. J. Funct. Anal.. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2017) On some Hermite series identities and their applications to Gabor analysis. Monatsh. Math., 182(4):899–912. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2009) Constructing pairs of dual bandlimited framelets with desired time localization. Adv. Comput. Math., 30(3):231–247. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2010) Optimally sparse approximations of functions in L^2(R^n) with C^\alpha singularities using shearlets. Oberwolfach Report (44). http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2012) Constructing pairs of dual bandlimited frame wavelets in L^2(R^n). Appl. Comput. Harmon. Anal., 32:313–328. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig , Christopher Miller and Kasso A. Okoudjou (2014) Prime tight frames. Adv. Comput. Math., 40(2):315–334. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig and Jordy Timo van Velthoven (2020) Criteria for generalized translation-invariant frames. Studia Math., 250(1):31–63. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig and Kamilla Haahr Nielsen (2016) Counterexamples to the B-spline conjecture for Gabor frames. J. Fourier Anal. Appl., 22(6):1440–1451. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig and Kamilla Haahr Nielsen (2019) On the smoothness of dual windows for Gabor windows supported on {-1, 1$}. In Sampling Theory and Applications (SampTA), 2019 International Conference on. July http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Lemvig, Jakob and Nielsen, Kamilla Haahr (2020) Gabor windows supported on {1,1$} and construction of compactly supported dual windows with optimal smoothness. J. Approx. Theory, 249:105304. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2016) Reproducing formulas for generalized translation invariant systems on locally compact abelian groups. Trans. Amer. Math. Soc., 368:8447–8480. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2016) Density and duality theorems for regular Gabor frames. J. Funct. Anal., 270(1):229–263. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2016) Co-compact Gabor Systems on Locally Compact Abelian Groups. J. Fourier Anal. Appl., 22(1):36–70. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Marcin Bownik and Jakob Lemvig (2017) Wavelets for non-expanding dilations and the lattice counting estimate. Int. Math. Res. Not. IMRN. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Marcin Bownik , Mads S. Jakobsen , Jakob Lemvig and Kasso A. Okoudjou (2017) On Wilson bases in L^2(\mathbb R^d). SIAM J. Math. Anal., 49(5):3999–4023. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Marcin Bownik , Mads S. Jakobsen , Jakob Lemvig and Kasso A. Okoudjou (2017) On Multivariate Wilson Bases. In Sampling Theory and Applications (SampTA), 2017 International Conference on. July http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Matcin Bownik and Jakob Lemvig (2007) The canonical and alternate duals of a wavelet frame. Appl. Comput. Harmon. Anal., 23(2):263–272. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Matcin Bownik and Jakob Lemvig (2011) Affine and quasi-affine frames for rational dilations. Trans. Amer. Math. Soc., 363(4):1887–1924. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Matcin Bownik and Jakob Lemvig (2012) Oversampling of wavelet frames for real dilations. Jour. London Math. Soc., 85:765–788. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Ole Christensen, Marzieh Hasannasab, Jakob Lemvig (2017) Explicit constructions and properties of generalized shift-invariant systems in L^2(\mathbb R). Adv. Comput. Math., 43(2):443–472. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

• Felix Krahmer , Gitta Kutyniok and Jakob Lemvig (2013) Spectral properties of dual frames. In 2013 International Conference on Sampling Theory and Applications (SampTA). May. Eurasip, pages 493-496 http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Felix Krahmer , Gitta Kutyniok and Jakob Lemvig (2013) Sparsity and spectral properties of dual frames. Linear Algebra Appl., 439(4):982–998. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Optimally sparse approximations of 3D functions by compactly supported shearlet frames. SIAM J. Math. Anal., 44(4):2962–3017. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Shearlets and Optimally Sparse Approximations. In Shearlets: Multiscale Analysis for Multivariate Data. (D. Labate and G. Kutyniok, Eds.), Springer. http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Compactly supported shearlets. In Approximation Theory XIII: San Antonio 2010.. Springer Proc. Math., 163–186 (13). http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2012) Constructing pairs of dual bandlimited frame wavelets in L^2(R^n). Appl. Comput. Harmon. Anal., 32:313–328. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Matcin Bownik and Jakob Lemvig (2012) Oversampling of wavelet frames for real dilations. Jour. London Math. Soc., 85:765–788. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2011) Optimally sparse approximations of multivariate functions using compactly supported shearlet frames. In 2011 International Conference on Sampling Theory and Applications (SampTA). http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Matcin Bownik and Jakob Lemvig (2011) Affine and quasi-affine frames for rational dilations. Trans. Amer. Math. Soc., 363(4):1887–1924. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2010) Optimally sparse approximations of functions in L^2(R^n) with C^\alpha singularities using shearlets. Oberwolfach Report (44). http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2009) Constructing pairs of dual bandlimited framelets with desired time localization. Adv. Comput. Math., 30(3):231–247. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Matcin Bownik and Jakob Lemvig (2007) The canonical and alternate duals of a wavelet frame. Appl. Comput. Harmon. Anal., 23(2):263–272. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

Preprints

2015 Publications

• Mads Sielemann Jakobsen and Jakob Lemvig (2015) Duality results for co-compact Gabor systems. In 2015 International Conference on Sampling Theory and Applications (SampTA). May. IEEE Xplore, pages 144-147 http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2015) A characterization of tight and dual generalized translation invariant frames. In 2015 International Conference on Sampling Theory and Applications (SampTA). May. IEEE Xplore, pages 96-100 http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

Title: Wavelet Frames and Their Duals (pdf). Supervisor: Ole Christensen. Thesis examiners: Prof. Per Christian Hansen (chairman, DTU), Prof. Say Song Goh (National University of Singapore), Prof. Richard S. Laugesen (University of Illinois, U.S.A.). Thesis defence: Friday September 26, 2008.

Preprints & 2015 Publications

• Mads Sielemann Jakobsen and Jakob Lemvig (2015) A characterization of tight and dual generalized translation invariant frames. In 2015 International Conference on Sampling Theory and Applications (SampTA). May. IEEE Xplore, pages 96-100 http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2015) Duality results for co-compact Gabor systems. In 2015 International Conference on Sampling Theory and Applications (SampTA). May. IEEE Xplore, pages 144-147 http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

2007 - 2014 Publications

• Felix Krahmer , Gitta Kutyniok and Jakob Lemvig (2014) Sparse matrices in frame theory. Comput. Statist., 29(3-4):547–568. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig , Christopher Miller and Kasso A. Okoudjou (2014) Prime tight frames. Adv. Comput. Math., 40(2):315–334. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

Preprints & 2014 Publications

• Felix Krahmer , Gitta Kutyniok and Jakob Lemvig (2014) Sparse matrices in frame theory. Comput. Statist., 29(3-4):547–568. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig , Christopher Miller and Kasso A. Okoudjou (2014) Prime tight frames. Adv. Comput. Math., 40(2):315–334. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

2007 - 2013 Publications

• Felix Krahmer , Gitta Kutyniok and Jakob Lemvig (2013) Spectral properties of dual frames. In 2013 International Conference on Sampling Theory and Applications (SampTA). May. Eurasip, pages 493-496 http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Felix Krahmer , Gitta Kutyniok and Jakob Lemvig (2013) Sparsity and spectral properties of dual frames. Linear Algebra Appl., 439(4):982–998. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

Preprints & 2013 Publications

• Felix Krahmer , Gitta Kutyniok and Jakob Lemvig (2013) Sparsity and spectral properties of dual frames. Linear Algebra Appl., 439(4):982–998. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Felix Krahmer , Gitta Kutyniok and Jakob Lemvig (2013) Spectral properties of dual frames. In 2013 International Conference on Sampling Theory and Applications (SampTA). May. Eurasip, pages 493-496 http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

2007 - 2012 Publications

• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Optimally sparse approximations of 3D functions by compactly supported shearlet frames. SIAM J. Math. Anal., 44(4):2962–3017. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Shearlets and Optimally Sparse Approximations. In Shearlets: Multiscale Analysis for Multivariate Data. (D. Labate and G. Kutyniok, Eds.), Springer. http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Compactly supported shearlets. In Approximation Theory XIII: San Antonio 2010.. Springer Proc. Math., 163–186 (13). http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2012) Constructing pairs of dual bandlimited frame wavelets in L^2(R^n). Appl. Comput. Harmon. Anal., 32:313–328. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Matcin Bownik and Jakob Lemvig (2012) Oversampling of wavelet frames for real dilations. Jour. London Math. Soc., 85:765–788. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Optimally sparse approximations of 3D functions by compactly supported shearlet frames. SIAM J. Math. Anal., 44(4):2962–3017. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Shearlets and Optimally Sparse Approximations. In Shearlets: Multiscale Analysis for Multivariate Data. (D. Labate and G. Kutyniok, Eds.), Springer. http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Compactly supported shearlets. In Approximation Theory XIII: San Antonio 2010.. Springer Proc. Math., 163–186 (13). http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2012) Constructing pairs of dual bandlimited frame wavelets in L^2(R^n). Appl. Comput. Harmon. Anal., 32:313–328. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Matcin Bownik and Jakob Lemvig (2012) Oversampling of wavelet frames for real dilations. Jour. London Math. Soc., 85:765–788. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Optimally sparse approximations of 3D functions by compactly supported shearlet frames. SIAM J. Math. Anal., 44(4):2962–3017. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Shearlets and Optimally Sparse Approximations. In Shearlets: Multiscale Analysis for Multivariate Data. (D. Labate and G. Kutyniok, Eds.), Springer. http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Compactly supported shearlets. In Approximation Theory XIII: San Antonio 2010.. Springer Proc. Math., 163–186 (13). http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2012) Constructing pairs of dual bandlimited frame wavelets in L^2(R^n). Appl. Comput. Harmon. Anal., 32:313–328. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Matcin Bownik and Jakob Lemvig (2012) Oversampling of wavelet frames for real dilations. Jour. London Math. Soc., 85:765–788. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

Title: Wavelet Frames and Their Duals (pdf). Supervisor: Ole Christensen. Thesis examiners: Prof. Per Christian Hansen (chairman, DTU), Prof. Say Song Goh (National University of Singapore), Prof. Richard S. Laugesen (University of Illinois, U.S.A.). Thesis defence: Friday September 26, 2008.

early?

• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Optimally sparse approximations of 3D functions by compactly supported shearlet frames. SIAM J. Math. Anal., 44(4):2962–3017. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Shearlets and Optimally Sparse Approximations. In Shearlets: Multiscale Analysis for Multivariate Data. (D. Labate and G. Kutyniok, Eds.), Springer. http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Matcin Bownik and Jakob Lemvig (2012) Oversampling of wavelet frames for real dilations. Jour. London Math. Soc., 85:765–788. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2012) Constructing pairs of dual bandlimited frame wavelets in L^2(R^n). Appl. Comput. Harmon. Anal., 32:313–328. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Compactly supported shearlets. In Approximation Theory XIII: San Antonio 2010.. Springer Proc. Math., 163–186 (13). http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Compactly supported shearlets. In Approximation Theory XIII: San Antonio 2010.. Springer Proc. Math., 163–186 (13). http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2012) Constructing pairs of dual bandlimited frame wavelets in L^2(R^n). Appl. Comput. Harmon. Anal., 32:313–328. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Matcin Bownik and Jakob Lemvig (2012) Oversampling of wavelet frames for real dilations. Jour. London Math. Soc., 85:765–788. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Shearlets and Optimally Sparse Approximations. In Shearlets: Multiscale Analysis for Multivariate Data. (D. Labate and G. Kutyniok, Eds.), Springer. http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Optimally sparse approximations of 3D functions by compactly supported shearlet frames. SIAM J. Math. Anal., 44(4):2962–3017. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Compactly supported shearlets. In Approximation Theory XIII: San Antonio 2010.. Springer Proc. Math., 163–186 (13). http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2012) Constructing pairs of dual bandlimited frame wavelets in L^2(R^n). Appl. Comput. Harmon. Anal., 32:313–328. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Matcin Bownik and Jakob Lemvig (2012) Oversampling of wavelet frames for real dilations. Jour. London Math. Soc., 85:765–788. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Shearlets and Optimally Sparse Approximations. In Shearlets: Multiscale Analysis for Multivariate Data. (D. Labate and G. Kutyniok, Eds.), Springer. http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Optimally sparse approximations of 3D functions by compactly supported shearlet frames. SIAM J. Math. Anal., 44(4):2962–3017. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

Title: Wavelet Frames and Their Duals (pdf). Supervisor: Ole Christensen. Thesis examiners: Prof. Per Christian Hansen (chairman, DTU), Prof. Say Song Goh (National University of Singapore), Prof. Richard S. Laugesen (University of Illinois, U.S.A.). Thesis defence: Friday September 26, 2008.

2007 - 2011 Publications

• Matcin Bownik and Jakob Lemvig (2007) The canonical and alternate duals of a wavelet frame. Appl. Comput. Harmon. Anal., 23(2):263–272. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

Quick Guide:

• Click http://www2.mat.dtu.dk/people/J.Lemvig/pub/../files/bibtex.gif to retrieve BibTeX metadata.

• Click http://www2.mat.dtu.dk/people/J.Lemvig/pub/../files/pdf.png to obtain preprint versions.

Quick Guide:

• Click http://www2.mat.dtu.dk/people/J.Lemvig/pub/../files/world.png to go to the journal version of the paper (DOI links)
• Click http://www2.mat.dtu.dk/people/J.Lemvig/pub/../files/pdf.png or use external links Publications:Kutyniok, Publications:Lemvig, or arXiv.org to obtain preprint versions.
• Click http://www2.mat.dtu.dk/people/J.Lemvig/pub/../files/bibtex.gif to retrieve BibTeX metadata.

Ph.D. Thesis

Title: Wavelet Frames and Their Duals (pdf). Supervisor: Ole Christensen. Thesis examiners: Prof. Per Christian Hansen (chairman, DTU), Prof. Say Song Goh (National University of Singapore), Prof. Richard S. Laugesen (University of Illinois, U.S.A.). Thesis defence: Friday September 26, 2008.

• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2011) Optimally sparse approximations of multivariate functions using compactly supported shearlet frames. In 2011 International Conference on Sampling Theory and Applications (SampTA). http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Matcin Bownik and Jakob Lemvig (2011) Affine and quasi-affine frames for rational dilations. Trans. Amer. Math. Soc., 363(4):1887–1924. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2010) Optimally sparse approximations of functions in L^2(R^n) with C^\alpha singularities using shearlets. Oberwolfach Report (44). http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2009) Constructing pairs of dual bandlimited framelets with desired time localization. Adv. Comput. Math., 30(3):231–247. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

Abstract. Fusion frame theory is an emerging mathematical theory that provides a natural framework for performing hierarchical data processing. A fusion frame is a frame-like collection of subspaces in a Hilbert space, thereby generalizing the concept of a frame for signal representation. In this paper, we study the existence and construction of fusion frames. We first present a complete characterization of a special class of fusion frames, called Parseval fusion frames. The value of Parseval fusion frames is that the inverse fusion frame operator is equal to the identity and therefore signal reconstruction can be performed with minimal complexity. We then introduce two general methods $ndash; the spatial complement and the Naimark complement - for constructing a new fusion frame from a given fusion frame. We then establish existence conditions for fusion frames with desired properties. In particular, we address the following question: Given M, N, m \in \mathbb{N} and \{\lambda_j\}_{j=1,...,M}, does there exist a fusion frame in \mathbb{R}^M with N subspaces of dimension m for which \{\lambda_j\}_{j=1,...,M} are the eigenvalues of the associated fusion frame operator? We address this problem by providing an algorithm which computes such a fusion frame for almost any collection of parameters M, N, m \in \mathbb{N} and \{\lambda_j\}_{j=1,...,M}. Moreover, we show how this procedure can be applied, if subspaces are to be added to a given fusion frame to force it to become Parseval.

Publications

Preprints

Preprints & 2012 Publications

• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Optimally sparse approximations of 3D functions by compactly supported shearlet frames. SIAM J. Math. Anal., 44(4):2962–3017. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Shearlets and Optimally Sparse Approximations. In Shearlets: Multiscale Analysis for Multivariate Data. (D. Labate and G. Kutyniok, Eds.), Springer. http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Compactly supported shearlets. In Approximation Theory XIII: San Antonio 2010.. Springer Proc. Math., 163–186 (13). http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2012) Constructing pairs of dual bandlimited frame wavelets in L^2(R^n). Appl. Comput. Harmon. Anal., 32:313–328. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Matcin Bownik and Jakob Lemvig (2012) Oversampling of wavelet frames for real dilations. Jour. London Math. Soc., 85:765–788. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

2008 - 2011 Publications

Quick Guide:

• Jakob Lemvig and Jordy Timo van Velthoven (2020) Criteria for generalized translation-invariant frames. Studia Math., 250(1):31–63. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Lemvig, Jakob and Nielsen, Kamilla Haahr (2020) Gabor windows supported on {1,1$} and construction of compactly supported dual windows with optimal smoothness. J. Approx. Theory, 249:105304. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Hartmut Führ and Jakob Lemvig (2019) System bandwidth and the existence of generalized shift-invariant frames. J. Funct. Anal.. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig and Kamilla Haahr Nielsen (2019) On the smoothness of dual windows for Gabor windows supported on {-1, 1$}. In Sampling Theory and Applications (SampTA), 2019 International Conference on. July http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Ole Christensen, Marzieh Hasannasab, Jakob Lemvig (2017) Explicit constructions and properties of generalized shift-invariant systems in L^2(\mathbb R). Adv. Comput. Math., 43(2):443–472. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2017) On some Hermite series identities and their applications to Gabor analysis. Monatsh. Math., 182(4):899–912. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Marcin Bownik and Jakob Lemvig (2017) Wavelets for non-expanding dilations and the lattice counting estimate. Int. Math. Res. Not. IMRN. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Marcin Bownik , Mads S. Jakobsen , Jakob Lemvig and Kasso A. Okoudjou (2017) On Multivariate Wilson Bases. In Sampling Theory and Applications (SampTA), 2017 International Conference on. July http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Marcin Bownik , Mads S. Jakobsen , Jakob Lemvig and Kasso A. Okoudjou (2017) On Wilson bases in L^2(\mathbb R^d). SIAM J. Math. Anal., 49(5):3999–4023. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2016) Density and duality theorems for regular Gabor frames. J. Funct. Anal., 270(1):229–263. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig and Kamilla Haahr Nielsen (2016) Counterexamples to the B-spline conjecture for Gabor frames. J. Fourier Anal. Appl., 22(6):1440–1451. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2016) Reproducing formulas for generalized translation invariant systems on locally compact abelian groups. Trans. Amer. Math. Soc., 368:8447–8480. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2016) Co-compact Gabor Systems on Locally Compact Abelian Groups. J. Fourier Anal. Appl., 22(1):36–70. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2015) A characterization of tight and dual generalized translation invariant frames. In 2015 International Conference on Sampling Theory and Applications (SampTA). May. IEEE Xplore, pages 96-100 http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2015) Duality results for co-compact Gabor systems. In 2015 International Conference on Sampling Theory and Applications (SampTA). May. IEEE Xplore, pages 144-147 http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig , Christopher Miller and Kasso A. Okoudjou (2014) Prime tight frames. Adv. Comput. Math., 40(2):315–334. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Felix Krahmer , Gitta Kutyniok and Jakob Lemvig (2014) Sparse matrices in frame theory. Comput. Statist., 29(3-4):547–568. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Felix Krahmer , Gitta Kutyniok and Jakob Lemvig (2013) Spectral properties of dual frames. In 2013 International Conference on Sampling Theory and Applications (SampTA). May. Eurasip, pages 493-496 http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Felix Krahmer , Gitta Kutyniok and Jakob Lemvig (2013) Sparsity and spectral properties of dual frames. Linear Algebra Appl., 439(4):982–998. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Compactly supported shearlets. In Approximation Theory XIII: San Antonio 2010.. Springer Proc. Math., 163–186 (13). http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2012) Constructing pairs of dual bandlimited frame wavelets in L^2(R^n). Appl. Comput. Harmon. Anal., 32:313–328. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Shearlets and Optimally Sparse Approximations. In Shearlets: Multiscale Analysis for Multivariate Data. (D. Labate and G. Kutyniok, Eds.), Springer. http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Optimally sparse approximations of 3D functions by compactly supported shearlet frames. SIAM J. Math. Anal., 44(4):2962–3017. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Matcin Bownik and Jakob Lemvig (2012) Oversampling of wavelet frames for real dilations. Jour. London Math. Soc., 85:765–788. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Matcin Bownik and Jakob Lemvig (2011) Affine and quasi-affine frames for rational dilations. Trans. Amer. Math. Soc., 363(4):1887–1924. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2011) Optimally sparse approximations of multivariate functions using compactly supported shearlet frames. In 2011 International Conference on Sampling Theory and Applications (SampTA). http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2010) Optimally sparse approximations of functions in L^2(R^n) with C^\alpha singularities using shearlets. Oberwolfach Report (44). http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2009) Constructing pairs of dual bandlimited framelets with desired time localization. Adv. Comput. Math., 30(3):231–247. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Matcin Bownik and Jakob Lemvig (2007) The canonical and alternate duals of a wavelet frame. Appl. Comput. Harmon. Anal., 23(2):263–272. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

• Matcin Bownik and Jakob Lemvig (2007) The canonical and alternate duals of a wavelet frame. Appl. Comput. Harmon. Anal., 23(2):263–272. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2009) Constructing pairs of dual bandlimited framelets with desired time localization. Adv. Comput. Math., 30(3):231–247. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2010) Optimally sparse approximations of functions in L^2(R^n) with C^\alpha singularities using shearlets. Oberwolfach Report (44). http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2011) Optimally sparse approximations of multivariate functions using compactly supported shearlet frames. In 2011 International Conference on Sampling Theory and Applications (SampTA). http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Matcin Bownik and Jakob Lemvig (2011) Affine and quasi-affine frames for rational dilations. Trans. Amer. Math. Soc., 363(4):1887–1924. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Matcin Bownik and Jakob Lemvig (2012) Oversampling of wavelet frames for real dilations. Jour. London Math. Soc., 85:765–788. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Optimally sparse approximations of 3D functions by compactly supported shearlet frames. SIAM J. Math. Anal., 44(4):2962–3017. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Shearlets and Optimally Sparse Approximations. In Shearlets: Multiscale Analysis for Multivariate Data. (D. Labate and G. Kutyniok, Eds.), Springer. http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2012) Constructing pairs of dual bandlimited frame wavelets in L^2(R^n). Appl. Comput. Harmon. Anal., 32:313–328. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Compactly supported shearlets. In Approximation Theory XIII: San Antonio 2010.. Springer Proc. Math., 163–186 (13). http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Felix Krahmer , Gitta Kutyniok and Jakob Lemvig (2013) Sparsity and spectral properties of dual frames. Linear Algebra Appl., 439(4):982–998. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Felix Krahmer , Gitta Kutyniok and Jakob Lemvig (2013) Spectral properties of dual frames. In 2013 International Conference on Sampling Theory and Applications (SampTA). May. Eurasip, pages 493-496 http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Felix Krahmer , Gitta Kutyniok and Jakob Lemvig (2014) Sparse matrices in frame theory. Comput. Statist., 29(3-4):547–568. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig , Christopher Miller and Kasso A. Okoudjou (2014) Prime tight frames. Adv. Comput. Math., 40(2):315–334. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2015) Duality results for co-compact Gabor systems. In 2015 International Conference on Sampling Theory and Applications (SampTA). May. IEEE Xplore, pages 144-147 http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2015) A characterization of tight and dual generalized translation invariant frames. In 2015 International Conference on Sampling Theory and Applications (SampTA). May. IEEE Xplore, pages 96-100 http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2016) Co-compact Gabor Systems on Locally Compact Abelian Groups. J. Fourier Anal. Appl., 22(1):36–70. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2016) Reproducing formulas for generalized translation invariant systems on locally compact abelian groups. Trans. Amer. Math. Soc., 368:8447–8480. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig and Kamilla Haahr Nielsen (2016) Counterexamples to the B-spline conjecture for Gabor frames. J. Fourier Anal. Appl., 22(6):1440–1451. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2016) Density and duality theorems for regular Gabor frames. J. Funct. Anal., 270(1):229–263. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Marcin Bownik , Mads S. Jakobsen , Jakob Lemvig and Kasso A. Okoudjou (2017) On Wilson bases in L^2(\mathbb R^d). SIAM J. Math. Anal., 49(5):3999–4023. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Marcin Bownik , Mads S. Jakobsen , Jakob Lemvig and Kasso A. Okoudjou (2017) On Multivariate Wilson Bases. In Sampling Theory and Applications (SampTA), 2017 International Conference on. July http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Marcin Bownik and Jakob Lemvig (2017) Wavelets for non-expanding dilations and the lattice counting estimate. Int. Math. Res. Not. IMRN. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2017) On some Hermite series identities and their applications to Gabor analysis. Monatsh. Math., 182(4):899–912. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Ole Christensen, Marzieh Hasannasab, Jakob Lemvig (2017) Explicit constructions and properties of generalized shift-invariant systems in L^2(\mathbb R). Adv. Comput. Math., 43(2):443–472. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig and Kamilla Haahr Nielsen (2019) On the smoothness of dual windows for Gabor windows supported on {-1, 1$}. In Sampling Theory and Applications (SampTA), 2019 International Conference on. July http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Hartmut Führ and Jakob Lemvig (2019) System bandwidth and the existence of generalized shift-invariant frames. J. Funct. Anal.. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Lemvig, Jakob and Nielsen, Kamilla Haahr (2020) Gabor windows supported on {1,1$} and construction of compactly supported dual windows with optimal smoothness. J. Approx. Theory, 249:105304. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig and Jordy Timo van Velthoven (2020) Criteria for generalized translation-invariant frames. Studia Math., 250(1):31–63. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

• Felix Krahmer , Gitta Kutyniok and Jakob Lemvig (2013) Spectral properties of dual frames. In 2013 International Conference on Sampling Theory and Applications (SampTA). May. Eurasip, pages 493-496 http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Felix Krahmer , Gitta Kutyniok and Jakob Lemvig (2014) Sparse matrices in frame theory. Comput. Statist., 29(3-4):547–568. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Felix Krahmer , Gitta Kutyniok and Jakob Lemvig (2013) Sparsity and spectral properties of dual frames. Linear Algebra Appl., 439(4):982–998. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2011) Optimally sparse approximations of multivariate functions using compactly supported shearlet frames. In 2011 International Conference on Sampling Theory and Applications (SampTA). http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Optimally sparse approximations of 3D functions by compactly supported shearlet frames. SIAM J. Math. Anal., 44(4):2962–3017. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Shearlets and Optimally Sparse Approximations. In Shearlets: Multiscale Analysis for Multivariate Data. (D. Labate and G. Kutyniok, Eds.), Springer. http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Gitta Kutyniok , Jakob Lemvig and Wang-Q Lim (2012) Compactly supported shearlets. In Approximation Theory XIII: San Antonio 2010.. Springer Proc. Math., 163–186 (13). http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Hartmut Führ and Jakob Lemvig (2019) System bandwidth and the existence of generalized shift-invariant frames. J. Funct. Anal.. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2009) Constructing pairs of dual bandlimited framelets with desired time localization. Adv. Comput. Math., 30(3):231–247. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2017) On some Hermite series identities and their applications to Gabor analysis. Monatsh. Math., 182(4):899–912. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2010) Optimally sparse approximations of functions in L^2(R^n) with C^\alpha singularities using shearlets. Oberwolfach Report (44). http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig (2012) Constructing pairs of dual bandlimited frame wavelets in L^2(R^n). Appl. Comput. Harmon. Anal., 32:313–328. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig , Christopher Miller and Kasso A. Okoudjou (2014) Prime tight frames. Adv. Comput. Math., 40(2):315–334. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig and Jordy Timo van Velthoven (2020) Criteria for generalized translation-invariant frames. Studia Math., 250(1):31–63. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig and Kamilla Haahr Nielsen (2016) Counterexamples to the B-spline conjecture for Gabor frames. J. Fourier Anal. Appl., 22(6):1440–1451. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Jakob Lemvig and Kamilla Haahr Nielsen (2019) On the smoothness of dual windows for Gabor windows supported on {-1, 1$}. In Sampling Theory and Applications (SampTA), 2019 International Conference on. July http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Lemvig, Jakob and Nielsen, Kamilla Haahr (2020) Gabor windows supported on {1,1$} and construction of compactly supported dual windows with optimal smoothness. J. Approx. Theory, 249:105304. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2015) Duality results for co-compact Gabor systems. In 2015 International Conference on Sampling Theory and Applications (SampTA). May. IEEE Xplore, pages 144-147 http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2015) A characterization of tight and dual generalized translation invariant frames. In 2015 International Conference on Sampling Theory and Applications (SampTA). May. IEEE Xplore, pages 96-100 http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2016) Reproducing formulas for generalized translation invariant systems on locally compact abelian groups. Trans. Amer. Math. Soc., 368:8447–8480. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2016) Co-compact Gabor Systems on Locally Compact Abelian Groups. J. Fourier Anal. Appl., 22(1):36–70. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Mads Sielemann Jakobsen and Jakob Lemvig (2016) Density and duality theorems for regular Gabor frames. J. Funct. Anal., 270(1):229–263. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Marcin Bownik and Jakob Lemvig (2017) Wavelets for non-expanding dilations and the lattice counting estimate. Int. Math. Res. Not. IMRN. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Marcin Bownik , Mads S. Jakobsen , Jakob Lemvig and Kasso A. Okoudjou (2017) On Multivariate Wilson Bases. In Sampling Theory and Applications (SampTA), 2017 International Conference on. July http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Marcin Bownik , Mads S. Jakobsen , Jakob Lemvig and Kasso A. Okoudjou (2017) On Wilson bases in L^2(\mathbb R^d). SIAM J. Math. Anal., 49(5):3999–4023. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Matcin Bownik and Jakob Lemvig (2011) Affine and quasi-affine frames for rational dilations. Trans. Amer. Math. Soc., 363(4):1887–1924. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Matcin Bownik and Jakob Lemvig (2012) Oversampling of wavelet frames for real dilations. Jour. London Math. Soc., 85:765–788. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Matcin Bownik and Jakob Lemvig (2007) The canonical and alternate duals of a wavelet frame. Appl. Comput. Harmon. Anal., 23(2):263–272. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=14px%http://www.mat.dtu.dk/people/J.Lemvig/files/pdf.png%% %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%
• Ole Christensen, Marzieh Hasannasab, Jakob Lemvig (2017) Explicit constructions and properties of generalized shift-invariant systems in L^2(\mathbb R). Adv. Comput. Math., 43(2):443–472. http://www.mat.dtu.dk/people/J.Lemvig/files/world.png %height=13px%http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

bibtexquery:[bibfile.bib][50]

bibtexquery:[bibfile.bib]

Title: Wavelet Frames and Their Duals (pdf). Supervisor: Ole Christensen. Thesis examiners: Prof. Per Christian Hansen (chairman, DTU), Prof. Say Song Goh (National University of Singapore), Prof. Richard S. Laugesen (University of Illinois, U.S.A.). Thesis defence: Friday September 26, 2008.

Title: Wavelet Frames and Their Duals (pdf Δ). Supervisor: Ole Christensen. Thesis examiners: Prof. Per Christian Hansen (chairman, DTU), Prof. Say Song Goh (National University of Singapore), Prof. Richard S. Laugesen (University of Illinois, U.S.A.). Thesis defence: Friday September 26, 2008.

Ph.D. Thesis

Title: Wavelet Frames and Their Duals (Attach:PDF Δ). Supervisor: Ole Christensen. Thesis examiners: Prof. Per Christian Hansen (chairman, DTU), Prof. Say Song Goh (National University of Singapore), Prof. Richard S. Laugesen (University of Illinois, U.S.A.). Thesis defence: Friday September 26, 2008.

Preprints & 2010 Publications

• Jakob Lemvig (2010) Optimally sparse approximations of functions in L^2(R^n) with C^\alpha singularities using shearlets. Oberwolfach Report (44). http://www.mat.dtu.dk/people/J.Lemvig/files/bibtex.gif%%

2009 Publications